Least Common Multiple of 7146 and 7154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7146 and 7154 the smallest integer that is 25561242 that is divisible by both numbers.

Least Common Multiple (LCM) of 7146 and 7154 is 25561242.

LCM(7146,7154) = 25561242

LCM of 7146 and 7154

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7146 and 7154

LCM of 7146 and 7154 is 25561242

Least common multiple can be found by multiplying the highest exponent prime factors of 7146 and 7154. First we will calculate the prime factors of 7146 and 7154.

Prime Factorization of 7146


2 7146
3 3573
3 1191
397 397
1

Prime factors of 7146 are 2, 3,397. Prime factorization of 7146 in exponential form is:

7146 = 21×32×3971

Prime Factorization of 7154


2 7154
7 3577
7 511
73 73
1

Prime factors of 7154 are 2, 7,73. Prime factorization of 7154 in exponential form is:

7154 = 21×72×731

Now multiplying the highest exponent prime factors to calculate the LCM of 7146 and 7154.

LCM(7146,7154) = 21×32×72×731×3971
LCM(7146,7154) = 25561242

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146

Factors of 7154

List of positive integer factors of 7154 that divides 7154 without a remainder.

1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154

Least Common Multiple of 7146 and 7154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7146 and 7154, than apply into the LCM equation.

GCF(7146,7154) = 2
LCM(7146,7154) = ( 7146 × 7154) / 2
LCM(7146,7154) = 51122484 / 2
LCM(7146,7154) = 25561242

Properties of LCM 7146 and 7154

(i) The LCM of 7154 and 7146 is associative

LCM of 7146 and 7154 = LCM of 7154 and 7146

Related Least Common Multiples of 7146

Related Least Common Multiples of 7154

Frequently Asked Questions on LCM of 7146 and 7154

1. What is the LCM of 7146 and 7154?

Answer: LCM of 7146 and 7154 is 25561242.

2. What are the Factors of 7146?

Answer: Factors of 7146 are 1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146. There are 12 integers that are factors of 7146. The greatest factor of 7146 is 7146.

3. What are the Factors of 7154?

Answer: Factors of 7154 are 1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154. There are 12 integers that are factors of 7154. The greatest factor of 7154 is 7154.

4. How to Find the LCM of 7146 and 7154?

Answer:

Least Common Multiple of 7146 and 7154 = 25561242

Step 1: Find the prime factorization of 7146

7146 = 2 x 3 x 3 x 397

Step 2: Find the prime factorization of 7154

7154 = 2 x 7 x 7 x 73

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 25561242 = 2 x 3 x 3 x 7 x 7 x 73 x 397

Step 4: Therefore, the least common multiple of 7146 and 7154 is 25561242.